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rotations (version 0.1)

exp_skew: Matrix exponential

Description

Compute the matrix exponent for skew-symmetric matrices according to the usual Taylor expansion. The expansion is significantly simplified for skew-symmetric matrices, see Moakher (2002). Maps a matrix belonging to the lie algebra $so(3)$ into the lie group $SO(3)$.

Usage

exp_skew(H)

Arguments

H
single $3\times 3$ skew-symmetric matrix or $n\times 9$ sample of skew-symmetric matrices.

Value

  • Matrix in $SO(3)$ $e^{\bm A}$.

References

Moakher M (2002). "Means and averaging in the group of rotations." SIAM Journal on Matrix Analysis and Applications, 24(1), pp. 1-16.